Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840co |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3225600 |
Modular degree for the optimal curve |
Δ |
-9.5127632692332E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 2 5 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6738627,8206879426] |
[a1,a2,a3,a4,a6] |
j |
-11333146141863707329/3185805171505680 |
j-invariant |
L |
4.4217901119841 |
L(r)(E,1)/r! |
Ω |
0.12282750311064 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4230p1 11280x1 |
Quadratic twists by: -4 -3 |